Question

A weather balloon is inflated to a volume of 26.8 LL at a pressure of 744 mmHgmmHg and a temperature of 31.2 ∘C∘C. The balloon rises in the atmosphere to an altitude where the pressure is 385 mmHgmmHg and the temperature is -14.8 ∘C∘C. Assuming the balloon can freely expand, calculate the volume of the balloon at this altitude.

Answer 1

43.96 L

Step-by-step explanation:

We are given that

`V_1=26.8 L`

`P_1=744mm Hg`

`T_1=31.2^(\circ) C=31.2+273=304.2K`

`P_2=385mmHg`

`T_2=-14.8^(\circ)=273-14.8=258.2K`

We know that

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`

`V_2=(P_1V_1T_2)/(P_2T_1)`

Substitute the values

`V_2=(744* 26.8* 258.2)/(385* 304.2)`

`V_2=43.96 L`

Hence, the volume of balloon at -14.8 degree Celsius=43.96 L